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variants of this functions
ArcTan




Mathematica Notation

Traditional Notation









Elementary Functions > ArcTan[x,y] > Differentiation > Fractional integro-differentiation > With respect to x





http://functions.wolfram.com/01.15.20.0007.01









  


  








Input Form





D[ArcTan[x, y], {x, \[Alpha]}] == ((-(I/Gamma[1 - \[Alpha]])) Log[(I y)/Sqrt[y^2]])/x^\[Alpha] - ((2^(-1 + \[Alpha]) Sqrt[Pi] x^(1 - \[Alpha]))/y) HypergeometricPFQRegularized[{1/2, 1, 1}, {1 - \[Alpha]/2, 3/2 - \[Alpha]/2}, -(x^2/y^2)] /; Abs[x] < Abs[y] && !Element[y, Reals] && !Element[I y, Reals]








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29